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Finding the Fourth Proportional to 23,188.68, 31,987.71 and 14,675.22

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Solution

The fourth proportional to 23,188.68, 31,987.71 and 14,675.22 is: 20,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.68 : 31,987.71 = 14,675.22 : x
  2. Step 2: Convert to fraction form
    23,188.68/31,987.71 = 14,675.22/x
  3. Step 3: Cross multiply
    23,188.68x = 31,987.71 × 14,675.22
  4. Step 4: Simplify right side
    23,188.68x = 469,426,681.55
  5. Step 5: Solve for x
    x = 469,426,681.55/23,188.68
  6. Step 6: Final answer
    x = 20,243.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.